Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms

· American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-299 · American Mathematical Soc.
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In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL2([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the special values in the critical strip of the Dirichlet series associated to the cusp form.

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